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Finding the Third Proportional to 1,144,381,034 and 2,471,708,956

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Solution

The third proportional to 1,144,381,034 and 2,471,708,956 is: 5,338,558,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,381,034 : 2,471,708,956 = 2,471,708,956 : x
  2. Step 2: Convert to fraction form
    1,144,381,034/2,471,708,956 = 2,471,708,956/x
  3. Step 3: Cross multiply
    1,144,381,034x = 2,471,708,956 × 2,471,708,956
  4. Step 4: Simplify right side
    1,144,381,034x = 6,109,345,163,170,610,176
  5. Step 5: Solve for x
    x = 6,109,345,163,170,610,176/1,144,381,034
  6. Step 6: Final answer
    x = 5,338,558,558.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.